What is the gradient of a line perpendicular to a line with a gradient of 2/3?

Answer:

36

Step-by-step explanation:

10+10+8+8=36 you just need to add all sides

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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Step-by-step explanation:

The angles 111° and y° are co-interior angles/C-angles.

Hence they are supplementary.

=> 111° + y° = 180°, y = 69.

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

590

Step-by-step explanation:

The set {a, b, c, d, e, f} has 2⁶ = 64 distinct subsets and 2⁶ - 1 = 63 distinct proper subsets.

A subset is any set of elements taken from a larger set. For example, {a, b} is a subset of {a, b, c}. A proper subset is any subset which does not contain all elements from the original set. For example, {a, b} is a proper subset of {a, b, c}, but {a, b, c} is not a proper subset of {a, b, c}.

To calculate the number of distinct subsets and proper subsets of a given set, we first need to determine the cardinality of the set (i.e. the number of elements it contains). In this case, the set contains 6 elements, so its cardinality is 6.

The number of distinct subsets for a given set is 2ⁿ, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct subsets is 2⁶ = 64.

The number of distinct proper subsets for a given set is 2ⁿ - 1, where n is the cardinality of the set. Thus, for our given set {a, b, c, d, e, f}, the number of distinct proper subsets is 2⁶ - 1 = 63.

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The statement "The limit of a function f(x) at x=2 is always the value of the function at x=2, that is f(2)" is false. The limit of a function at a specific point does not necessarily equal the value of the function at that point due to potential discontinuities or peculiarities in the function's behavior.

The statement is not generally true. The limit of a function f(x) at x=2 is not always equal to the value of the function at x=2, that is f(2).

The limit of a function represents the behavior of the function as the independent variable approaches a particular value. It does not depend solely on the value of the function at that point.

In some cases, the limit at x=2 may indeed be equal to f(2). This occurs when the function is continuous at x=2.

In such cases, the value of the function at x=2 is consistent with the behavior of the function in the surrounding region.

However, there are situations where the limit at x=2 differs from f(2). This happens when there are discontinuities or other peculiarities in the function's behavior at that point.

For example, if the function has a jump, vertical asymptote, or removable discontinuity at x=2, the limit may exist but not be equal to f(2).

Therefore, the statement is false because the limit of a function at a particular point is not always equal to the value of the function at that point.

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Answer:

The length of the fish tank is 17 inches.

Step-by-step explanation:

The volume of a rectangular prism is length × breadth × height.

You already know the volume, breadth, and height, so you can find the length.

Length = 2244 ÷ 12 ÷ 11

            = 17 inches

The height of the tank is 17 inches.

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

The shape of the fish tank is rectangular prism.

The formula to calculate the volume of the rectangular prism is,

Volume = Length × Width × height

Given,

Volume of the tank = 2,244 cubic inches

Length = 12 inches

Width = 11 inches

Let x be the height.

Substituting the given values,

2,244 = 12 × 11 × x

x = 2244 / (12 × 11)

x = 2244 / 132

x = 17 inches

Hence the height of the tank is 17 inches.

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Your question is incomplete. The complete question is given below.

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?

Answer: 50.24 square feet

Step-by-step explanation:

When a 30-inch segment is cut into two parts whose lengths have the ratio 3 to 5, the length of the shortest part is 11.25 inches.

Therefore, the answer is 11.25in.

A line segment is cut into two parts, say of length x and y in inch. As they are cut in ratio 3 is to 5, x/y = 3/ 5.

Therefore, 5x = 3y implies x = 3y/5 = 0.6y

Also total length of the line segment is 30in, that is x + y = 30.

Therefore, 0.6y + y = 30

y = 30/ 1.6

= 18.75

Thus, x = 0.6y = 11.25

Therefore the 30in line segment is divided into lengths of 11.25in and 18.75in.

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Answer:

no

Step-by-step explanation:

Answer:

No it is not a right angle

The patient is recieving nearly 35.5 miligrams of the drugs for  per kilogram per 24 hours.

First, we need to convert the child's weight from pounds to kilograms:

99 lbs / 2.205 = 44.9 kg

Next, we calculate the recommended dose for this weight:

40 mg/kg/24h x 44.9 kg = 1796 mg/24h

Since the recommended dose is divided into four equal doses, each dose should be:

1796 mg/24h ÷ 4 doses = 449 mg/dose

However, the physician ordered 400 mg every 6 hours, which is not the same as 449 mg every 6 hours. To calculate the actual dose per kilogram per 24 hours, we need to convert the ordered dose to the recommended dose:

400 mg/dose x 4 doses = 1600 mg/24h

Then, we divide the actual dose by the child's weight in kilograms:

1600 mg/24h ÷ 44.9 kg = 35.6 mg/kg/24h

Therefore, the patient is receiving 35.6 mg/kg/24h, which is slightly lower than the recommended dose of 40 mg/kg/24h.

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Answer:

1. corresponding

2. alternate interior

3. supplementary

4. interior

Step-by-step explanation:

1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.

2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.

3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.

4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.

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The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

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answer

f(x)= 3x

= 3×-2 = -6

D. -6

Based on the information given and the figure provided, we can determine the following:

- Since the support at B is a roller, it can only provide a vertical reaction force. Therefore, the horizontal component of the reaction force at B is zero. This means that the shear force at point C is equal to the applied load F = 12 kips.
- To determine the internal normal force at point C, we need to draw a free body diagram of the section of the beam to the left or to the right of point C (it doesn't matter which side we choose). Let's assume we choose the left side, as shown in Figure 2.

(Figure 2)

- The internal normal force N is perpendicular to the cross-section of the beam, and it points away from the section we are considering. Since there are no external vertical forces acting on this section, the internal normal force must be equal in magnitude and opposite in direction to the sum of the vertical components of the applied load and the reaction force at B. Therefore, we have:

N = - (F + VB)

where VB is the vertical reaction force at B. To find VB, we can use the equation of equilibrium of forces in the vertical direction:

VB = F

since there are no other vertical forces acting on the beam. Substituting this into the equation above, we get:

N = - 2F = - 24 kips

Therefore, the internal normal force at point C is equal to -24 kips, and it points away from the section to the left of point C.
- To determine the bending moment in the beam at point C, we need to use the equation of equilibrium of moments about point C:

M = 0 = - (F)(8 ft) + (VB)(6 ft) + (N)(0 ft)

where the signs of the terms are based on the right-hand rule (clockwise moments are negative, counterclockwise moments are positive). Solving for M, we get:

M = - 48 kip-ft

Therefore, the bending moment in the beam at point C is equal to -48 kip-ft, which means that the beam is experiencing a clockwise bending moment at this location.
To determine the internal normal force, shear force, and bending moment at point C, we need to first analyze the beam with the given load and support conditions. Since we don't have a visual representation of the problem, I will assume a simply supported beam with the roller support at B, and point C is located just to the right of the F = 12 kip load.

1. Internal normal force at point C:
In a simply supported beam, the internal normal force is typically zero, as there are no axial loads acting on the beam. Therefore, the internal normal force at point C is 0 kip.

2. Shear force at point C:
To find the shear force at point C, we need to calculate the reactions at the supports. Let's assume the reaction at support A is R_A and at support B is R_B. Since the beam is in equilibrium, the sum of the vertical forces must be equal to zero:
R_A + R_B = 12 kip
Now, considering the moment equilibrium around point A, we get:
R_B * L = 12 kip * (L/2)
R_B = 6 kip
Since R_A + R_B = 12 kip, we find R_A = 6 kip as well.

The shear force at point C, just to the right of the 12 kip load, is equal to the reaction at support A, as there are no other loads between point A and point C:
Shear force at point C = R_A = 6 kip

3. Bending moment at point C:
To determine the bending moment at point C, we can use the moment equilibrium equation considering the section just to the right of point C:
M_C = R_A * x - F * (x - a), where x is the distance from support A to point C, and a is the distance from support A to the 12 kip load.

Since point C is just to the right of the 12-kip load, x = a. Therefore, the bending moment equation simplifies to:
M_C = R_A * x - F * 0
M_C = 6 kip * x

To find the exact value of the bending moment at point C, we need the value of x.

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Step-by-step explanation:

my instagram account bdq.frk follow please

Answer:

N = 5

Step-by-step explanation:

Sum of interior angles for a pentagon

= ( n-2×180)

= (5-2 × 180)

= 3 ×180

540°

Answer:

4x x 22< x

Step-by-step explanation:

No explanation. Straight answer

Oscar Wilde creates a hilarious tone by using puns, situational irony, dramatic irony, satire, and epigrams.

Oscar Fingal O'Flahertie Wills, an Irish poet, and playwright, lived from 16 October 1854 to 30 November 1900.

He wrote in a variety of genres throughout the 1880s before becoming one of London's most well-known playwrights in the early 1890s.

The Picture of Dorian Gray, his plays and epigrams, as well as the circumstances surrounding his meningitis-related early death at age 46 and criminal conviction for gross indecency for consensual homosexual activities in "one of the earliest celebrity trials," is what people will remember him for most.

Using puns, situational irony, dramatic irony, satire, and epigrams, Oscar Wilde establishes a humorous tone.

Therefore, Oscar Wilde creates a hilarious tone by using puns, situational irony, dramatic irony, satire, and epigrams.

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Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

Using proportions, the missing side length in the image below is of 20.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In this problem, the side lengths are proportional, being related by the rule of three given as follows:

x/10 = 14/7

Applying cross multiplication:

7x = 14 x 10

7x = 140

x = 140/7

x = 20.

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When dividing fractions, the second fraction gets flipped over and the divide sign changes to multiplication:

- 3/4 divided by -8/12 becomes -3/4 x -12/8

Now when you multiply 2 negative values by each other the answer becomes positive, which would be the same as multiplying two positive values.

The equivalent answer would be c. 3/4 x 12/8

Answer: " Compare and order integers, -3, +4  -3 < +4, 3 is farther to the left on the number line than +4. To put integers in order , you order the elevations from least to greatest. First, graph each integer then, write the integers as they appear on the number line from left to right. To compare integers If there are two numbers we can compare them one number is either greater than, less than or equal to the other number.

Answer:

ANS Below

Step-by-step explanation:

As they are both equations involving absolute values, we can determine that |3 + 10| = 3 + 10 and that |3| + |10| = 3 + 10 show that they are both identical.

Hope this helps! :)

Answer:

a. acute

b. right

c. obtuse

d. obtuse

The median is the best measure of center and equals 12. Therefore, option C is the correct answer.

Given that, a box plot uses a number line from 4 to 25 with tick marks every one unit.

The box extends from 10 to 15 on the number line.

Here, first quartile = 10 and the third quartile = 15

A line in the box is at 12.

Here, the median is 12.

The lines outside the box end at 5 and 24.

Here, the minimum value = 5 and the maximum value = 24

Therefore, option C is the correct answer.

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The required probability is P(G|F) = 0.5.

Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:

P(G|F) = P(G and F) / P(F)

Where P(G and F) is the probability of both Renate winning a Green Card and Renate being a finalist, and P(F) is the probability of Renate being a finalist.

Since Renate was one of 110,000 finalists, P(F) = 110,000 / 6.5 million = 0.016923076923076924

Out of the 110,000 finalists, 55,000 won a Green Card, so P(G and F) = 55,000 / 6.5 million = 0.008461538461538462

Therefore, Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:

P(G|F) = P(G and F) / P(F) = 0.008461538461538462 / 0.016923076923076924 = 0.5

Thus, Renate had a 5% chance of winning a Green Card, given that she was a finalist.

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--The given question is incomplete; the complete question is

"In 1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won Green Card.

In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate's chance of winning a Green Card? Let F = was a finalist. Write your answer as a conditional probability statement. (Round your answer to four decimal places.)"--

Answer:since X-W is 5 spaces and X-Y is also 5 spaces, the area would be 25. because area is equal to length x width

Step-by-step explanation:hope this helps brainliest